@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix dc: <http://purl.org/dc/terms/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

psr: a skos:ConceptScheme .
psr:-NHFK3Q1R-H
  skos:prefLabel "fonction L"@fr, "L-function"@en ;
  a skos:Concept ;
  skos:narrower psr:-BTLZS821-0 .

psr:-RQFB184X-1
  skos:prefLabel "fonction zêta de Hasse-Weil"@fr, "Hasse-Weil zeta function"@en ;
  a skos:Concept ;
  skos:related psr:-BTLZS821-0 .

psr:-BTLZS821-0
  dc:created "2023-08-22"^^xsd:date ;
  skos:broader psr:-NHFK3Q1R-H ;
  dc:modified "2024-10-18"^^xsd:date ;
  skos:prefLabel "fonction L motivique"@fr, "motivic L-function"@en ;
  skos:definition """In mathematics, <b>motivic <i>L</i>-functions</b> are a generalization of Hasse–Weil <i>L</i>-functions to general motives over global fields. The local <i>L</i>-factor at a finite place <i>v</i> is similarly given by the characteristic polynomial of a Frobenius element at <i>v</i> acting on the <i>v</i>-inertial invariants of the <i>v</i>-adic realization of the motive. For infinite places, Jean-Pierre Serre gave a recipe in (Serre 1970) for the so-called Gamma factors in terms of the Hodge realization of the motive. It is conjectured that, like other <i>L</i>-functions, that each motivic <i>L</i>-function can be analytically continued to a meromorphic function on the entire complex plane and satisfies a functional equation relating the <i>L</i>-function <i>L</i>(<i>s</i>, <i>M</i>) of a motive <i>M</i> to <span class="nowrap"><i>L</i>(1 − <i>s</i>, <i>M</i><sup>∨</sup>)</span>, where <i>M</i><sup>∨</sup> is the <i>dual</i> of the motive <i>M</i>. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Motivic_L-function">https://en.wikipedia.org/wiki/Motivic_L-function</a>)"""@en ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Motivic_L-function> ;
  skos:inScheme psr: ;
  skos:related psr:-RQFB184X-1 ;
  a skos:Concept .